New characterizations of the so-called PM-and PH-matrices in terms of generalized diagonal dominance are obtained and used to derive some of their properties. Also it is proved that a PH-matrix necessarily has a certain number of strictly diagonally dominant rows. Bibliography: 8 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 367, 2009, pp. 110–120.
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Kolotilina, L.Y. Diagonal dominance characterization of PM-and PH-matrices. J Math Sci 165, 556–561 (2010). https://doi.org/10.1007/s10958-010-9825-0
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DOI: https://doi.org/10.1007/s10958-010-9825-0